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What's causing the Great Stagnation? Most branches of physics are thrivin…
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@johncarlosbaez You said lots of things above, more important than the followin…
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The problem is not dropping assumptions: that's easy to do. The problem is…
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@johncarlosbaez Is Planck length the lower limit to photon wavelength and upper…
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@MartinEscardo - yes, the takeover by bureaucrats is a huge problem afflicting …
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> spacetimeThat time is a dimension is an assumption. If it's a quantize…
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@johncarlosbaez now I'm wondering how many regular tessellations of Minkows…
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@zwol - I've studied some of the nice ones, where a quite large subgroup of…
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@rubinjoni - as I explained, nobody knows jack shit about what *actually* happe…
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@johncarlosbaez Thanks! I'll try not to get sucked into that extremely smal…
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@johncarlosbaez The difference between math and physics is that physicists are …
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@johncarlosbaez So there's a lot of options? Hypercubes and 4-simplexes are…
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@zwol - I was mainly interested in lattices, which are kinda like tesselations …
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@zwol - 2x2 self-adjoint matrices with entries of the forma + b i √3/2 with a…
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@zwol - if we copy the same procedure with numbers of the forma + b iwith a,b i…
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@BartoszMilewski - I don't think we're permanently stuck: I think physi…
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@4raylee @BartoszMilewski - Deriving Newton's constant is only possible if …
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@johncarlosbaez @roice3 I had never realized before that Minkowski spacetime ha…
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@zwol - Be glad you spent your time on something useful. 🙃Yes, the surface�…
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@johncarlosbaez I haven’t been in high-energy theory since 1980 when I droppe…
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@johncarlosbaez I enjoy reading about emergent models of Gravity, so thanks for…
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@dgoldsmith - cool, so you did high-energy physics. High five!I guess it depend…
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@johncarlosbaez This prompts me to wonder if there is an Einstein-style leap of…
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@johncarlosbaez @MartinEscardo something about the nature of the position turns…
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@4raylee @BartoszMilewski - dimensionful and dimensionless constants play funda…
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@johncarlosbaez I don't know if I deserve a high five for dropping out of m…
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@4raylee - also check out my web page on fundamental constants:http://math.ucr.…
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@ppog_penguin - I feel sure there leaps of imagination missing. But Einstein&#…
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@johncarlosbaez my favorite fringe theory is the work from Zbigniew Oziewicz……
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@FrohlichMarcel - anyone who writes a paper with a title like "The tyranny…
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@johncarlosbaez I was going to ask you: What exactly is the limitation of &quot…
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@johncarlosbaez 😹
Post #ApXBfG0IVHLGQlln28 by [email protected]
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@johncarlosbaez I think physicists started hallucinatine when experimental sour…
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@johncarlosbaez @zwol not necessarily "fancy lattices", but random di…
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@johncarlosbaez I have a question: how does the Yang-Mills problem fit into thi…
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@FrohlichMarcel @johncarlosbaez Zbigniew Oziewicz was my teacher at the Univers…
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@BartoszMilewski @FrohlichMarcel - groupoids are now being used in theoretical …
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@TonyVladusich @johncarlosbaez The problem with QG is that beyond lowest level …
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@BartoszMilewski @TonyVladusich - I'm going to say a lot more about this. …
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@johncarlosbaez @BartoszMilewski No idea, I stumbled across his work only a few…
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@johncarlosbaez I'd settle for having a quantum gravity theory (i.e., it&#3…
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@JohnBarrett - agreed! I'm just getting started on a longish rant here.
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@FrohlichMarcel @BartoszMilewski - I thought Bartosz might have a guess.
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@davidsuculum - Many of us think a bit differently about this. I'd say the…
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@BartoszMilewski @johncarlosbaez Best as I can tell, this post is about taking …
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@metarecursive- I'm just getting started on this series of posts, and you&…
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@johncarlosbaez @BartoszMilewski Thanks for the details, John. I look forward t…
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@johncarlosbaez @FrohlichMarcel I'm afraid I lost contact with him after I …
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@johncarlosbaez @BartoszMilewski Reading the Wikipedia entry on renormalisation…
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@TonyVladusich @johncarlosbaez Physicist can forge ahead and get away with inco…
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@BartoszMilewski @TonyVladusich - to a mathematician, the main problem with ren…
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@johncarlosbaez @TonyVladusich I had two great teachers of supersymmetry. Prof.…
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@johncarlosbaez @BartoszMilewski The Wikipedia entry on QFT is really interesti…
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In this thread I'm talking about the Great Stagnation in fundamental physic…
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@johncarlosbaez Just wondering, when you say "the charge of the electron i…
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One theory that predicts how the observed charge of the electron changes when y…
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@johncarlosbaez This feels like it's pretty much similar stuff covered in …
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@johncarlosbaez was that surface meant to be described by an equation? Presumab…
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@johncarlosbaez Looking at the linked paper I now see this: "At zero momen…
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@TonyVladusich - "Just wondering, when you say "the charge of the ele…
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@highergeometer - whoops, fixed! It was so much work getting a unicode versio…
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@penguin42 - good, that means I'm starting off easy enough. I'm trying…
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@johncarlosbaez oh, of course. I'm in the middle of a holiday, so not think…
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@johncarlosbaez @highergeometer if you allow non-linear tesselations, you have …
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@dimpase - did you mean 𝐻³? Discrete subgroups of SO(3,1) act as symmetrie…
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@TonyVladusich - I don't know anything about Schwinger's source theory,…
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@johncarlosbaez @BartoszMilewski I'm sure you're all over this, John, b…
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@TonyVladusich - actually now that I read the source field theory article on Wi…
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@paulbalduf @johncarlosbaez @zwol still one of my favourite facts that a Poisso…
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@paulbalduf @johncarlosbaez @zwol I mean for the obvious reason that 𝑆𝑂(1…
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@gigapixel - that's indeed nice! It took me a while to figure out what you…
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@johncarlosbaez @roice3 @highergeometer that's probably the usual real vs. …
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@dimpase @roice3 @highergeometer - weird! As you might have guessed, I'm …
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One reason for the Great Stagnation was physicists' near-obsessive desire t…
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@johncarlosbaezEnergy^2 - momentum^2 looks to be dimensional at first glance. I…
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@dlakelan - in quantum field theory we use units where the speed of light, c, e…
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@johncarlosbaez Typo: "But what the simplest theory of quantum gravity&quo…
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@johncarlosbaez something I’ve always been a bit confused about is what actua…
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@sandmouth - the cutoff takes whatever value you want, and one point of Kenneth…
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@TonyVladusich - thanks!
Post #ApcDkK7hmnYELzZtdQ by [email protected]
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@johncarlosbaez The 'sentence' "But what the simplest theory of qu…
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@thebluewizard - One missing word inserted. (Guess which one.) Thanks.
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@dlakelan - by the wayenergy² - c² momentum²is important because all observe…
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@johncarlosbaez : Seeing Planck's constant here reminds me that this was o…
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Everyone agrees that naive quantum gravity, where you posit a particle called t…
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@johncarlosbaez I just want you to know I'm aggressively bookmarking this t…
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@johncarlosbaez The problem is the predictive power of such a theory. With infi…
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What if we bite the bullet and *accept* the fact that naive quantum gravity is …
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@BartoszMilewski - I don't think so. As I said you have to carefully choo…
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@johncarlosbaez You’ve given me a challenge for 2025: publish the phrase “h…
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@jsdodge - I think the usual term is "ansatz", i.e."Solving this…
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@mcc - that's very kind of you! And when you're clear-headed, please a…
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@TobyBartels - there's something screwed-up about your post here, as if you…
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@johncarlosbaez this kinda reminds me of the Taylor series - as you want to see…
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@johncarlosbaez : I think that I fixed the echo, and also completed a sentence…
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@johncarlosbaez @mcc You have already hugely clarified a number of issues for m…
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@johncarlosbaez > But in the old days nobody wanted to, because it's a h…
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@dougmerritt - Happy New Year!The depressingly low quality of YouTube videos on…
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@johncarlosbaez I'm glad it did!
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@johncarlosbaez Oops oh and yes happy new year!
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@dougmerritt - alas, Nature seems to feel no obligation to make the calculation…
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@johncarlosbaez @roice3 @highergeometer what is \(\mathbb{Q}[\omega]\) ? Cyclot…
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@johncarlosbaez Those Feynman diagrams don't require hand-tuning per layer …
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@wolf480pl - it's actually a bit complicated. Sums over Feynman diagrams i…
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@dougmerritt - I don't know exactly what a 'layer' is, but:Take a n…
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@johncarlosbaez But seriously, I hadn’t realized that M-theory isn’t renorm…
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@jsdodge - it's worse. Nobody even knows what the hell M-theory is! There…
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@johncarlosbaez @dougmerritt The computations of the anomalous magnetic moment …
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@TonyVladusich - I wouldn't say it's hand-wavy. I'd just say the m…
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@johncarlosbaez My definition of hand wavy would probably be something like “…
Post #ApcyEISl7U6rmbejjM by [email protected]
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@johncarlosbaez So what if, instead of trying to formulate a quantum theory of …
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@johncarlosbaez I’m confused about two of the statement you make here: 1. Gen…
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@johncarlosbaez "Of course you could argue that somehow those infinitely m…
Post #ApdV0IB4gFS5KcJX84 by [email protected]
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@johncarlosbaez I'd propose +10 points for dismissing as stagnating a whole…
Post #Ape8apuGePtCZqrx5c by [email protected]
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@dimpase https://mathstodon.xyz/@johncarlosbaez/113732508152431553 omega is a c…
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@highergeometer @johncarlosbaez @roice3 OK. Are these roots of 1, \(i\) and \(\…
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@dimpase @highergeometer @roice3 - I don't know. These roots of 1 are spec…
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@BartoszMilewski wrote: ". It's certainly possible that effective QG g…
Post #ApeBpuUoAaCJ17q9lA by [email protected]
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@flippiefanus - what I'm trying to say in this series of articles is that p…
Post #ApeCoQEDJoIQoAvsno by [email protected]
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@flippiefanus @johncarlosbaez I'm a physicist, but not THAT kind of physici…
Post #ApeCoQQyYMVLRku4h6 by [email protected]
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@marymessallAlso not that kind of Physicist (and also doing experimental optics…
Post #ApeCoQatxSRbwXY0AK by [email protected]
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@j_bertolotti @marymessall @flippiefanus - One problem is that Penrose's su…
Post #ApeDKCIwcccUtKITgG by [email protected]
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@johncarlosbaez @dougmerritt BTW, Peter Woit mentions this thread in his latest…
Post #ApeDKCafYinXmIadJA by [email protected]
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@TonyVladusich - I always keep careful tabs on Peter Woit's blog, even when…
Post #ApeEO1XagQC6cXXIau by [email protected]
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@johncarlosbaez Do they have to vanish or just be reasonably small? Gravity bei…
Post #ApeK6K2blComVizEaO by [email protected]
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@johncarlosbaez @j_bertolotti @flippiefanus That's fair, although I gather …
Post #ApeLEZC5PF43mFunU8 by [email protected]
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@johncarlosbaez @highergeometer @roice3 \(S:=\mathbb{Z}[\exp(2\pi i/k)]\subset\…
Post #ApeLo4H9pvuuJMDQSu by [email protected]
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@BartoszMilewski - I feel you're doing the Gish gallop again. In this thr…
Post #ApeMnLzUaRgCuzAyVE by [email protected]
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@marymessall @j_bertolotti @flippiefanus - Oppenheim has gone further than I th…
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@dimpase - the space of 2×2 hermitian complex matrices can be identifiied with…
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@johncarlosbaez My point is that, physically, the only constraints are that the…
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@BartoszMilewski - What you say is true but also not of concern to me. I didn&…
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@ajarmst - who was "supposing 𝑅² corrections", and what does that…
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@julioparram - it took me a while to see your comments because mathstodon filte…
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@marymessall wrote:" I'd be very interested in an explanation of why […
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@ajarmst - Okay. I won't bother explaining what 𝑅² corrections are, …
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@johncarlosbaez 2. It is true that one is required to introduce counterterms t…
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@julioparram - "2. It is true that one is required to introduce counterter…
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@johncarlosbaez More generally, from a modern perspective (usually called Effec…
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@julioparram wrote: " More generally, from a modern perspective (usually c…
Post #ApeU3BLQdVNmDCvn9s by [email protected]
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@TonyVladusich - okay, by your definition of hand wavy, most of physics is hand…
Post #ApeVk3DQpqMPPHCDOi by [email protected]
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@johncarlosbaez Yeah, absolutely fair enough! I agree that any modelling of the…
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@johncarlosbaez I am not sure what I had in mind when I wrote that comment, lol…
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There's a ton more to say, but let me recap and expand slightly on my main …
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@TonyVladusich wrote: "I guess I'm interested in the question of the o…
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@gaugedaway - thanks! I may try to polish this up and turn it into a blog arti…
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@TonyVladusich - GR is very rigorously formulated. Quantum field theory is too…
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@johncarlosbaez Haha, that’s an unfortunate lesson to learn during your PhD!
Post #ApedqkCgideS6PYCno by [email protected]
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@gaugedaway - I find some aspects of renormalization hard to understand myself,…
Post #ApedyhqnLrfJ7Z6hGK by [email protected]
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@TonyVladusich - actually it was fine. After my PhD I worked on *classical* fi…
Post #ApegWX0MNkONEnq0Aa by [email protected]
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@johncarlosbaez Happy New Year!Is it possible that in the future someone will f…
Post #ApeizjKzo8RbnGXazI by [email protected]
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@wolf480pl - Happy New Year!Such better mathematical tools are being discovered…
Post #Apev1XV3zPUp6osYOu by [email protected]
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@johncarlosbaez Perhaps we've reached the part of the sigmoidal curve where…
Post #Apex1au9WyQHZolgmm by [email protected]
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@johncarlosbaez @j_bertolotti @marymessall What I like about Penrose's sugg…
Post #ApezIPxDhJgSRgLvEW by [email protected]
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@johncarlosbaez Thanks for the discussion. It is definitely an interesting topi…
Post #Apf8aRQ5szotn7Wkwi by [email protected]
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@johncarlosbaez I know it's gauche to question the value of SCIENCE! but th…
Post #Apf8aRYFOgLGCPLGee by [email protected]
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@brinnBelyea - In 2010 I quit working on fundamental physics and started trying…
Post #ApfN1TKSILgWtBfoNU by [email protected]
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@johncarlosbaez There is nothing faster than light; there is no action below a …
Post #ApfaKcPe2qcPy4YpcG by [email protected]
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@johncarlosbaez One can drop the assumption that the spacetime is a smooth mani…
Post #Apfy4m0123Wzy0YAfw by [email protected]
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@johncarlosbaez @wolf480pl Can you explain the sense in which beyond spacetime …
Post #Apg78TrJJpZGS2JyAS by [email protected]
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@metarecursive @wolf480pl - saying the amplitudohedron is "beyond spacetim…
Post #Apg7pD67VoP4v4chWa by [email protected]
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@johncarlosbaez I am in the brutalist mindset that current physics would be muc…
Post #Apg7pDEd0BD1LSbUmm by [email protected]
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@Thebratdragon - I'm glad you're not in charge because even the most ba…
Post #Apg8GfHIqWeC8cwfFg by [email protected]
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@johncarlosbaez @metarecursive did you know your phone takes a peek beyond time…
Post #ApgVBO8lQzNmU5P7ho by [email protected]
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@johncarlosbaez If there’s been a Big Mistake holding the subject back, it is…
Post #ApgVBOKoiB1X5T2kUa by [email protected]
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@johncarlosbaez In QFT, the unknown very high energy physics can be modelled by…
Post #ApgVBOWA2067eeLoAq by [email protected]
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@johncarlosbaez However there’s no reason to remove the cut-off for quantum g…
Post #ApgVBOeJXgcU3wAJsm by [email protected]
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@JohnBarrett - I agree about the Big Mistake but somehow I wound up talking abo…
Post #ApghKbjzR7t8imykfw by [email protected]
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@amikovic - nice! The hard part will be showing that this theory gives ordinar…
Post #AphNfswEt5zQDNXKzY by [email protected]
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@johncarlosbaez The semiclassical limit of the piecewise flat quantum gravity i…
Post #AphzdhjlMKDn9b5XBA by [email protected]
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@johncarlosbaez Interesting. Naively this reminds me of the way we need to add …
Post #ApiaWxsWe0FdUZpv04 by [email protected]
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@robinadams - There actually is a relationship, which I explained here:https://…
Post #ApieDBec7Io0F29bpQ by [email protected]
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@CptSuperlative - 'bear on' is an extremely loose relationship so I can…
Post #ApifsOJy1fSpM2hyYC by [email protected]
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@johncarlosbaez Unpopular take: Cosmic inflation is such a hallucination. In pa…
Post #ApifsOTtQlP5qpLu1Q by [email protected]
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@BartoszMilewski @johncarlosbaez The monopole problem seems particularly ... no…
Post #ApifsOdoprLMLbzpUe by [email protected]
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@bstacey @BartoszMilewski - Of course Dirac's monopoles were just a suggest…
Post #ApjZDdLKreA3VMUSTw by [email protected]
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@johncarlosbaez @bstacey I we take into account that the original inflation has…
Post #ApkI8Lnf9pcLaLaxk0 by [email protected]
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@BartoszMilewski @johncarlosbaez Even setting that aside, the general idea of i…
Post #ApkI8LyIWI7m7KZSJk by [email protected]
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@bstacey @BartoszMilewski - yes, a curious thing about inflation is that like m…
Post #ApkJ8ArPvj7dbxpaFM by [email protected]
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@BartoszMilewski @johncarlosbaez @bstacey Should I take that as economy recomme…
Post #ApkJ8B0zM8mK5eJEAK by [email protected]
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@gsec @johncarlosbaez @bstacey We were discussing the Great Stagnation in funda…
Post #ApkJ8B6f13JcNExl0S by [email protected]
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@BartoszMilewski @johncarlosbaez @bstacey Yes, my bad, should read the thread m…
Post #ApkJ8BGaQ9Fss1bgTg by [email protected]
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@gsec wrote:"Nevertheless, do you think there is something better, that we…
Post #ApmM3PCPscoAoRzUMi by [email protected]
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@johncarlosbaez for our purposes, studying \(G=SL(2, O_K)\), with $K$ a real qu…
Post #AsBsTTW91RyPJIOjKq by [email protected]
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@johncarlosbaez @TonyVladusich my brain is not coping well with the chapter in …
Post #AsC9IQKaEBLfSlJ3I0 by [email protected]
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@retsil - if you tell me something particular that's bothering you I can pr…
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